In a sample of n = 6 scores,the smallest score is X = 3,the largest score is X = 10,and the mean is M = 6.If the largest score is changed from X = 10 to X = 22,then what is the value of the new mean?
A)The mean is still M = 6.
B)The mean is M = 7.
C)The mean is M = 8.
D)The mean is M=10.

Question

In a sample of n = 6 scores,the smallest score is X = 3,the largest score is X = 10,and the mean is M = 6.If the largest score is changed from X = 10 to X = 22,then what is the value of the new mean?​
A)​The mean is still M = 6.
B)​The mean is M = 7.
C)​The mean is M = 8.
D)​The mean is M=10.

Quizplus · Accepted Answer

To find the new mean, we need to subtract the old score (10) and add the new score (22) to the sum of the scores, then divide by the number of scores (which is still 6). 
New sum = Old sum - old score + new score 
New sum = (3 + 4 + 6 + 7 + 8 + 10) - 10 + 22 = 40 
New mean = New sum / n 
New mean = 40 / 6 = 6.67, which rounds up to M = 7. Therefore, the correct answer is B.

In a Sample of N = 6 Scores,the Smallest Score